Sentence examples for order of edge from inspiring English sources

Fig. 7 Rank order of edge importance for the Erdös Rényi ensemble.

The solid lines in (a) show a MST graph built from decreasing order of edge weights i.e. the edges with the highest weights are included first.

This behavior suggests that the unimportant edges should have a mean R k value ≲ 2 n − 5 / 3. Setting n = 50, for example, we would expect one cluster of R k values centered at 1 / 50 = 0.02 for k ∈ E I and another cluster close to 2 ⋅ 50 − 5 / 3 ≈ 0.0021 for k ∈ E U. Figure 7 shows the rank order of edge importance values R k corresponding to the m reactions in the Erdös Rényi random graph.

The situation is more complicated in cyclic graphs: the result of TR can become non-unique, depending on the order of edge removals.

However, one has to keep in mind that 2-paths may contain edges that are themselves indirect effects (as B →  E in the example above), hence, the order of edge removal might then become crucial.

While the order of edge placements affects which edge is identified as redundant or independent, the total number of independent constraints and DOF within the network do not depend on this ordering.

Left: Rank order plot of edge importance R k. Compare to Fig. 7; note the absence of a clear gap distinguishing "important" from "unimportant" edges.

Let us denote this ordering of edges by ℵ.

The amplitudes of temperature variation from more to less are in the order of the edge, the corner, and the middle area.

Because of the differences of heat transfer conditions, the results of the test are different: The amplitudes of temperature variation from more to less are in the order of the edge, the corner, and the middle area.

An ordered grid of edge MDs is observed only on the Ge/GeSi interface; the mean distance between the MDs is ∼10 nm (which is close to the equilibrium value for the non-stressed Ge/Si system).